Properties of the Number 51480

Fifty-One Thousand Four Hundred Eighty

Basics

Value: 51479 → 51480 → 51481

Parity: even

Prime: No

Previous Prime: 51479

Next Prime: 51481

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 5 × 11 × 13

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100100011000

Octal: 144430

Duodecimal: 25960

Hexadecimal: c918

Square: 2650190400

Square Root: 226.89204481426844

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = (2n+1)!/n!². A2457

Swinging factorial, a(n) = 2^{n-(n mod 2})*∏_k=1..n k^(-1^(k+1)). A56040

T(n,k) = binomial(n,k)*binomial(n+k,k), 0 <= k <= n, triangle read by rows. A63007

Array T(i,j) = binomial(-1/2-i,j)*(-4)^j, i,j >= 0 read by antidiagonals going down. A46521

Triangle read by rows: T(n,k) = C(n+k,n)*C(n,k)/(k+1), for n >= 0, k = 0..n. A88617

Multinomial coefficient of the prime signature of n!. A325617

Triangle (0 <= k <= n) read by rows: T(n, k) is the number of Schröder paths from (0,0) to (2n,0) having k peaks. A60693

a(n) = n·binomial(n-1, floor((n-1)/2)) = n·max_i=0..n binomial(n-1, i). A100071

First numerator and then denominator of central elements of Leibniz's Harmonic Triangle. A46212

Distinct even numbers in the triangle of denominators in Leibniz's Harmonic Triangle. A46204